This paper treats the topic of periodic event triggered control (PETC) for Networked Control Systems in a setup where the network provides a maximum sampling rate and a maximum number of successive packet losses. The packet loss is tackled with a non-monotonic approach, meaning that the trigger rules are designed such that a Lyapunov function is guaranteed to decrease only between two successful triggering instants. The stability properties of the resulting continuous time sampled-data system are analyzed in two ways. The first one uses different restricted dynamical systems and the second one applies theory on non-monotonic Lyapunov functions. Based on this theory an example for another trigger rule is given that can be derived using this approach. The theoretical results are demonstrated through a known numerical example.